Finding the Third Proportional to 100,599 and 150,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,599 : 150,910.50 = 150,910.50 : x
2. Step 2: Convert to fraction form
   100,599/150,910.50 = 150,910.50/x
3. Step 3: Cross multiply
   100,599x = 150,910.50 × 150,910.50
4. Step 4: Simplify right side
   100,599x = 22,773,979,010.25
5. Step 5: Solve for x
   x = 22,773,979,010.25/100,599
6. Step 6: Final answer
   x = 226,383.75